A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000 ksi; a = 6.5×10-6/°F] bolts have a diameter of 0.45 in. The polymer [E = 350 ksi; a = 37.2x 10-6/°F] cylinder has an outside diameter of 6.0 in. and a wall thickness of 0.70 in. Assume a = 23 in. and b = 31 in. If the temperature of this assembly changes by AT = 130°F, determine: (a) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c) the normal strain in the steel bolts.

A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000 ksi; a = 6.5×10-6/°F] bolts have a diameter of 0.45 in. The polymer [E = 350 ksi; a = 37.2x 10-6/°F] cylinder has an outside diameter of 6.0 in. and a wall thickness of 0.70 in. Assume a = 23 in. and b = 31 in. If the temperature of this assembly changes by AT = 130°F, determine: (a) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c) the normal strain in the steel bolts.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A rectangular polypropylene [E = 6,200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 1070 mm² and a length of L₁ = 1380 mm. Bar (2) has a cross-sectional area of A₂ = 2730 mm² and a length of L₂ = 510 mm. After two loads of P = 2.6 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. A L₁ (1) P B L2 C
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A rectangular polypropylene [E = 6,200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of 4₁ = 1150 mm² and a length of I₁ = 1370 mm. Bar (2) has a cross-sectional area of 42 = 2950 mm² and a length of L₂ = 600 mm. After two loads of P = 4.5 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. (a) F₁ = F₂ = (b) UB= i i A KN KN mm L₁ (1) P B L2 (2)
Consider the bar in Figure 2, which has cross-sectional area A = 1·10−3 m2, modulus of elasticityE = 1·1011 N/m2, and length 1 m. The bar is fixed to a wall on its left hand side. Along the left halfof the bar, x=[0 m, 0.5 m], there is a constant distributed force of l(x) = 10 kN/m. Along the righthalf of the bar, x=[0.5 m, 1 m], there is a constant distributed force of l(x) = 20 kN/m. a) Given the finite element mesh in Figure 3, consisting of two elements of equal size L = 0.5 m,sketch the associated basis functions of the mesh, and write the approximation of the displacementfunction u(x) as an expansion of these basis functions. Use u1, u2 and u3 to denote the expansioncoefficients for each node. b) The general form of the element stiffness matrix system, with nodes indexed by i and j, is givenas shown in the image of eqaution 2, where F0 and f(1) denote boundary forces at positions x = 0 and x = 1, respectively. Form the two basis functions for element 2, and evaluate the right…
A load P is supported by a structure consisting of rigid bar ABC, two identical solid aluminum alloy [E-73 GPa] rods (1), and a solid bronze [E = 105 GPa] rod (2). The aluminum rods (1) each have a diameter of 12 mm and a length of L₁ - 2.5 m. They are symmetrically positioned relative to middle rod (2) and the applied load P. Bronze rod (2) has a diameter of 22 mm and a length of L₂ - 1.7 m. If all bars are unstressed before the load P is applied, determine the normal stresses in the aluminum and bronze rods after a load of P - 80 KN is applied to the rigid bar. L₁ Answer: 0₁- i 0₂- 164 L2 (1) (1) MPa MPa
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A rectangular polypropylene [E = 6.200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 920 mm² and a length of L₁ = 1220 mm. Bar (2) has a cross-sectional area of A₂ = 2630 mm² and a length of L₂ = 570 mm. After two loads of P = 3.8 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. (a) F₁ = F₂ = (b) UB = i i i A kN KN mm L₁ (1) P B L₂ (2)
In (Figure 1), F = {35i − 50j + 50k} lb. Figure 4 ft F 3 ft 4 ft B 4 ft 1 of 1 > 2 ft Determine the magnitude of the component of F' acting along segment BC of the pipe assembly. Express your answer to three significant figures and include the appropriate units. (FBC) pa Submit Part B (FBC) pr = Submit ☐ Value μÃ Request Answer Determine the magnitude of the component of F acting perpendicular to segment BC of the pipe assembly. Express your answer to three significant figures and include the appropriate units. 0 O μA Value Return to Assignment Request Answer Units Units Provide Feedback ?
A 0.5-in.-diameter steel [E= 30,000 ksi] bolt (1) is placed in a copper tube (2). The copper [E= 16,000 ksi] tube has an outside diameter of 1.00 in., a wall thickness of 0.125 in., and a length of L= 8.0 in. Rigid washers, each with a thickness of t= 0.125 in., cap the ends of the copper tube. The bolt has 20 threads per inch. This means that each time the nut is turned one complete revolution, the nut advances 0.05 in. (i.e., 1/20 in.). The nut is hand-tightened on the bolt until the bolt, nut, washers, and tube are just snug, meaning that all slack has been removed from the assembly but no stress has yet been induced. What stresses are produced in the bolt and in the tube if the nut is tightened an additional quarter turn past the snug-tight condition?